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Finding the Third Proportional to 63,873 and 131,846

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Solution

The third proportional to 63,873 and 131,846 is: 272,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,873 : 131,846 = 131,846 : x
  2. Step 2: Convert to fraction form
    63,873/131,846 = 131,846/x
  3. Step 3: Cross multiply
    63,873x = 131,846 × 131,846
  4. Step 4: Simplify right side
    63,873x = 17,383,367,716
  5. Step 5: Solve for x
    x = 17,383,367,716/63,873
  6. Step 6: Final answer
    x = 272,155.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.